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A and B are running on a circular track of length 600m . Speed of A is 30m/s and Speed of B is 20m/s . They start from the same point at the same time in the same distance. After how much time will they meet at the starting point?
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A and B are running on a circular track of length 600m . Speed of A is...
Understanding the Problem
To determine when A and B will meet at the starting point on a circular track, we need to find the time it takes for each runner to complete a lap.
Key Parameters
- Length of the track: 600 meters
- Speed of A: 30 m/s
- Speed of B: 20 m/s
Calculating Time for Each Runner
- **Time for A to complete one lap**:
- Formula: Time = Distance / Speed
- Calculation:
- Time_A = 600 m / 30 m/s = 20 seconds
- **Time for B to complete one lap**:
- Calculation:
- Time_B = 600 m / 20 m/s = 30 seconds
Finding the Meeting Time
To find when they will meet at the starting point, we need to determine the least common multiple (LCM) of their lap times.
- **Lap times**:
- A: 20 seconds
- B: 30 seconds
Calculating LCM
- Prime factorization:
- 20 = 2² × 5
- 30 = 2 × 3 × 5
- **LCM Calculation**:
- LCM = 2² × 3 × 5 = 60 seconds
Conclusion
A and B will meet at the starting point after 60 seconds. This is when both runners have completed an integer number of laps on the circular track.
To determine when A and B will meet at the starting point on a circular track, we need to find the time it takes for each runner to complete a lap.
Key Parameters
- Length of the track: 600 meters
- Speed of A: 30 m/s
- Speed of B: 20 m/s
Calculating Time for Each Runner
- **Time for A to complete one lap**:
- Formula: Time = Distance / Speed
- Calculation:
- Time_A = 600 m / 30 m/s = 20 seconds
- **Time for B to complete one lap**:
- Calculation:
- Time_B = 600 m / 20 m/s = 30 seconds
Finding the Meeting Time
To find when they will meet at the starting point, we need to determine the least common multiple (LCM) of their lap times.
- **Lap times**:
- A: 20 seconds
- B: 30 seconds
Calculating LCM
- Prime factorization:
- 20 = 2² × 5
- 30 = 2 × 3 × 5
- **LCM Calculation**:
- LCM = 2² × 3 × 5 = 60 seconds
Conclusion
A and B will meet at the starting point after 60 seconds. This is when both runners have completed an integer number of laps on the circular track.
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A and B are running on a circular track of length 600m . Speed of A is 30m/s and Speed of B is 20m/s . They start from the same point at the same time in the same distance. After how much time will they meet at the starting point?
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A and B are running on a circular track of length 600m . Speed of A is 30m/s and Speed of B is 20m/s . They start from the same point at the same time in the same distance. After how much time will they meet at the starting point? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about A and B are running on a circular track of length 600m . Speed of A is 30m/s and Speed of B is 20m/s . They start from the same point at the same time in the same distance. After how much time will they meet at the starting point? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B are running on a circular track of length 600m . Speed of A is 30m/s and Speed of B is 20m/s . They start from the same point at the same time in the same distance. After how much time will they meet at the starting point?.
A and B are running on a circular track of length 600m . Speed of A is 30m/s and Speed of B is 20m/s . They start from the same point at the same time in the same distance. After how much time will they meet at the starting point? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about A and B are running on a circular track of length 600m . Speed of A is 30m/s and Speed of B is 20m/s . They start from the same point at the same time in the same distance. After how much time will they meet at the starting point? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B are running on a circular track of length 600m . Speed of A is 30m/s and Speed of B is 20m/s . They start from the same point at the same time in the same distance. After how much time will they meet at the starting point?.
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